A Gainesville investor is purchasing a triangular lot described by metes and bounds. The description states: "Beginning at point A, thence 300 feet north to point B, thence 400 feet east to point C, thence 500 feet southwest back to point A." What is the approximate area of this lot?
Correct Answer
D) 60,000 square feet
60,000 square feet is correct using the triangle area formula for a right triangle: 1/2 × base × height = 1/2 × 300 × 400 = 60,000 sq ft. The 500-foot diagonal confirms this is approximately a right triangle (300² + 400² = 500²). 50,000 would be too small for these dimensions. 75,000 and 100,000 overestimate the area of this triangle.
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